Cup products, the Johnson homomorphism and surface bundles over surfaces with multiple fiberings
نویسندگان
چکیده
منابع مشابه
Cup Products, the Johnson Homomorphism, and Surface Bundles over Surfaces with Multiple Fiberings
Let Σg → E → Σh be a surface bundle over a surface with monodromy representation ρ : π1Σh → Mod(Σg) contained in the Torelli group Ig. In this paper we express the cup product structure in H∗(E,Z) in terms of the Johnson homomorphism τ : Ig → ∧(H1(Σg ,Z)). This is applied to the question of obtaining an upper bound on the maximal n such that p1 : E → Σh1 , . . . , pn : E → Σhn are fibering maps...
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2015
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2015.15.3613